# Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras

@article{Dobrev2019JordanAI, title={Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras}, author={Vladimir Dobrev and Alessio Marrani}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2019}, volume={53} }

With this paper we start a programme aiming at connecting two vast scientific areas: Jordan algebras and representation theory. Within representation theory, we focus on non-compact, real forms of semisimple Lie algebras and groups as well as on the modern theory of their induced representations, in which a central role is played by the parabolic subalgebras and subgroups. The aim of the present paper and its sequels is to present a Jordan algebraic interpretations of maximal parabolic…

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